419 citations · 451 across the 16 of their papers we have counts for
3 papers · 1 filter
On Approximation of D Persistence Modules by Interval-decomposables
Hideto Asashiba, Emerson G. Escolar, Ken Nakashima +1
In this work, we propose a new invariant for D persistence modules called the compressed multiplicity and show that it generalizes the notions of the dimension vector and the ra…
Mapping Firms' Locations in Technological Space: A Topological Analysis of Patent Statistics
Emerson G. Escolar, Yasuaki Hiraoka, Mitsuru Igami +1
Where do firms innovate? Mapping their locations and directions in technological space is challenging due to its high dimensionality. We propose a new method to characterize firms'…
Every 1D Persistence Module is a Restriction of Some Indecomposable 2D Persistence Module
Mickaël Buchet, Emerson G. Escolar
A recent work by Lesnick and Wright proposed a visualisation of D persistence modules by using their restrictions onto lines, giving a family of D persistence modules. We giv…